Hilbert空间中无限族拟非扩张映象的强收敛定理  

Strong convergence theorems for a family of quasi-nonexpansive mappings in Hilbert spaces

作　　者：张雷[1] 崔艳兰[1] 

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《西南民族大学学报（自然科学版）》2009年第4期722-725,共4页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：陕西省教育厅专项科研计划项目(04JK301)

摘　　要：本文给出了在Hilbert空间框架下,迭代逼近无限族拟非扩张映象的不动点以及其强收敛定理.此结果改进和推广了前人的结果.The purpose of this paper is to propose several modified hybrid projection algorithms and prove several convergence theorems for common fixed points of a family of Quasi-Nonexpansive Mappings in Hilbert Space, The results presented improve and extend the corresponding ones announced by many others.

关 键 词：强收敛 无限族拟非扩张映象:Hilbert空间 

分 类 号：O177.91[理学—数学]